Which of the following is a solution to the system of two equations y = 3x – 7 and 4x – 5y = -20?

Answers

Answer 1

Answer:

x = 5, and y = 8

Step-by-step explanation:

You can solve this system by solving either of the equations for either x or y, and substituting that into the other.

Since the first equation is already defined for y, let's substitute that into the second equation:

4x - 5y = -20

4x - 5(3x - 7) = -20

4x - 15x + 35 = -20

4x - 15x = -20 - 35

-11x = -55

x = 5

We can then plug that into either of the original equations to find y:

y = 3x - 7

y = 3 * 5 - 7

y = 15 - 7

y = 8

We can also verify our answer by plugging one of the values into either of the original equations and seeing what we get:

4x - 5y = -20

4x - 5 * 8 = -20

4x - 40 = -20

4x = 20

x = 5

So we know the answer is correct.  x is equal to five, and y is equal to eight.


Related Questions


Describe how you can tell whether a lines slope is greater than 1,equal to 1, or less than 1

Answers

Answer:

Rise over Run

Step-by-step explanation:

You need to find the rise over run. Find a point where the line crosses a set of points on the graph. Then find another point on the graph where the line crosses. start at the bottom point and count up till you get even to where the point is. then count over till you get to the point. That is your rise over run. Now simplify the rise over run. You should get a number and that is how you can tell if if a lines slope is equal to 1, greater than 1, or less than 1.

Hope this Helps!

Need help on this one, can someone please answer this?

Answers

Answer:

quadrant 3

Step-by-step explanation:

3x + 1 = -2 (solve for x)

Answers

Answer:

x = -1

Step-by-step explanation:

3x + 1 = -2

Subtract 1 from both sides.

3x = -2 - 1

Simplify -2 - 1 to 3.

3x = -3

Divide both sides by 3.

x = -1

fahimahash is wanted for using bad subject bounty 50 points for the account deleted

Answers

Ok thx for letting everyone know

Click on the correct answer.
One morning it rains 1/2 inch. That afternoon it rains another 1/3 of an inch.
What is the total amount of rainfall?
1/6 of an inch
2/6 of an inch
2/5 of an inch
5.6 of an inch

Answers

5/6 is the answer so I guess the last one.

Which of the following fractions is the largest 2/3 1/2

Answers

Answer: 2/3

Step-by-step explanation:

2/3 = 4/61/2 = 3/64/6 is greater than 3/6

4a + 3 2y 5a 7 + 4y
Need to simplify

Answers

Answer:

it is 9a+6y+10

Step-by-step explanation:

Answer:

9a+10+6y

Step-by-step explanation:

Solve for x.
ASAP, please help me

Answers

Answer:

8

Step-by-step explanation:

180=90+40+6x+2

180=132+6x

48=6x

x=8

Answer:

x=4 i think havent done this in a long time

Step-by-step explanation:

If a pound of turkey costs ​$0.82, how much will n pounds​ cost?

Answers

$0.82n is the answer

I need help with math pls

Answers

The answer is 6

Explanation:

PLEASE ANSWER ASAP FOR BRAINLEST WITH WORK!!!!!!!!!!!!!

Answers

Answer:

61

Step-by-step explanation:

because they already have 61 dollars

The following statement is a good definition of...

Answers

Answer:

It is not converse since converse is if q, then p in a conditional statement. So I will say that is a truth table

A 24-foot ladder leaning against a wall makes a 30 ° angle with the ground . How high up on the building is the top of the ladder ?
HELP ASAP

Answers

Answer:

[tex]12\:\mathrm{ft}[/tex]

Step-by-step explanation:

When the ladder is leaning against the wall, a 30-60-90 triangle is formed. The ladder acts as a 24-foot hypotenuse. Because the height is facing the [tex]30^{\circ}[/tex] angle, the height is half the hypotenuse (30-60-90 rules). If you forget the side rules for a 30-60-90 triangle, simply use basic trig on the right triangle:

[tex]\sin 30^{\circ}=\frac{h}{24},\\h=24\sin 30^{\circ},\\h=24\cdot \frac{1}{2},\\h=\fbox{$12\:\mathrm{ft}$}[/tex].

What is the equation of the line that has a slope of 14
and goes through the point (8,−3)?

y=1/4x−5

y=1/4x+5

y=1/4x−11

y=1/4x+1

Answers

Answer:

y=1/4x+1

please mark as brainliest

Under ideal conditions a certain bacteria population is known to double every three hours. Suppose that there are initially 100 bacteria. Estimate the size of the population after 20 hours.

Answers

Answer:

the estimation of the size of the population after 20 hours is 10159

Step-by-step explanation:

The computation of the size of the population after 20, hours is shown below;

= 100  2^(20 by 3)

= 10159.36

If we divide 20 by 3 so it would give 6.66 that lies between 6 and 7

So the estimation of the size of the population after 20 hours is 10159

hence, the same is relevant

Answer:

The answer is "10159"

Step-by-step explanation:

Every 3 hours the population doubles, with an initial population of 100.

[tex]\to P(t) = 100 \times 2^{\frac{t}{3}}[/tex]

[tex]P(t)= \text{The population of bacteria}\\\\ t = \text{time in hours} \\[/tex]

when t=20

[tex]\to p(20)= 100 \times 2^{\frac{20}{3}} \\[/tex]

             [tex]= 100 \times 101.593667\\\\ =10159.3667[/tex]

when a metallic ball bearing is placed inside a cylindrical container of radius 2 cm the height of the water inside the container increased by 0.6 CM the radius is it to the nearest teeth of the centre of the ball bearing is​

Answers

Answer: do 2 x 0.6

Step-by-step explanation:

there y go

I will give brainiest to whoever answers correctly !!

Answers

470 was sold in 2011 and 429 in 2012. So there was a decrease of (470-429) = 41.

To find the percentage decrease, we take the decrease and we divide by the original number and multiply by 100.

Decrease = 41
Original number = 470
% decrease = (41/470)*100 = 8.72%

Mary and Brittany ran for 6th grade class president. The ratio of votes for Mary to votes for Brittany was 4:3. Which statement is true?



Group of answer choices

For every 4 votes Mary received, Brittany received 3 votes.

For every vote Brittany received, Mary received 4 votes.

For every vote Brittany received, Mary received 3 votes.

For every 4 votes Brittany received, Mary received 7 votes.

Answers

Answer:

A: For every 4 votes Mary received, Brittany received 3 votes.

Step-by-step explanation:

5k + (-7) = 13 what does k =

Answers

Answer:

k = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

5k + (-7) = 13

Step 2: Solve for k

Simplify equation:                             5k - 7 = 13Addition Property of Equality:          5k - 7 + 7 = 13 + 7Simplify equation:                             5k = 20Division Property of Equality:           5k/5 = 20/5Simplify equation:                             k = 4

Step 3: Check

Plug in k into the original equation to verify it's a solution.

Substitute in k:                    5(4) + (-7) = 13Multiply:                               20 + (-7) = 13Add:                                     13 = 13

Here we see that 13 does indeed equal 13.

∴ k = 4 is the solution to the equation.

Answer:

Step-by-step explanation:

Here you go mate

PEMDAS

Parenthesis

Exponent

Multiplication

Division

Addition

Subtraction

Step 1

5k+(-7)=13  Equation/Question

Step 2

5k+(-7)=13  Remove parenthesis

5k=20

Step 3

5k=20  Divide 5 from the sides             Check (5)(4)=20

answer

4

You weigh a gallon of liquid in science class and learn that it is approximately 7.7 pounds. You pass the liquid to the next group, and then realize that your teacher wanted an answer in kilograms, not pounds. Complete the explanation of how you can adjust your answer without weighing the liquid again. Then give the weight in kilograms. If necessary, round your answer to the nearest tenth.


only right anwres

Answers

Answer:

7.7 pounds = 3.5 kilograms

Step-by-step explanation:

Given that,

Weight of a gallon of liquid = 7.7 pounds

We need to find weight in kilograms.

We must know the relation between pounds and kilograms and it is as follows :

1 kilogram = 2.20 pounds

or

1 pounds = (1/2.2) kilograms

7.7 pounds = (7.7/2.2) kilograms

= 3.5 kilograms

Hence, 7.7 pounds is equal to 3.5 kilograms.

f(x) = radical 2x-1
] 1,2[
] 1/2, +oo[
[1/2, +oo[​

Answers

Answer:

○ [tex]\displaystyle [\frac{1}{2}, ∞[[/tex]

Step-by-step explanation:

All you want to do is set the radical equal to zero to determine your domain, and sinse substituting [tex]\displaystyle \frac{1}{2}[/tex] in for [tex]\displaystyle x[/tex] would make this 0, it would be the INCLUDED endpoint, so your bracket faces [tex]\displaystyle \frac{1}{2},[/tex] then continues on infinitely.

I am joyous to assist you at any time.

**The ONLY time this is not the case is when you have a rationale-radical function, in which you must never have 0 in the denominatour.

6 batteries cost 29 dollars what is the unit rate?

Answers

Answer:

Step-by-step explanation:

In a unit rate, the denominator is always 1. So, to find unit rate, divide the denominator with the numerator in a way that the denominator becomes 1. For example, if 50km is covered in 5.5 hours, the unit rate will be 50km/5.5 hours = 9.09 km/hour

Answer:

[tex]\large \boxed{\sf{4.83 \ dollars/battery}}[/tex]

Step-by-step explanation:

Unit rate is a ratio that compares two measurements.

Denominator is 1

[tex]\displaystyle \sf \frac{29\ dollars}{6\ batteries}=4.83\ dollars/battery[/tex]

Helppppppppppppppppppp

Answers

Answer:

Interior angles sum to 180 So 92+ 57+ x= 180 So x= 31
Number one is 35 number two is 125 your welcome

3 2/3 divide 1 2/7 in simplest form

Answers

Answer:

2 23/27

Step-by-step explanation:

3 2/3 / 1 2/7

= 11/3 / 1 2/7

= 11/3 / 9/7

= 77/27

= 2 23/27

Hope it helped!

what the other person said

Answer:

2 23/27

Step-by-step explanation:

3 2/3 / 1 2/7

= 11/3 / 1 2/7

= 11/3 / 9/7

= 77/27

= 2 23/27

Im serious this time is it appropriate to use a old notebook for a new class in highschool?
Specifically math cuz they made us get big five subject notebooks and we haven't even filled half of it and the years almost over I thought about reusing it for next year's math class

Answers

Answer:

Of course it is!

Step-by-step explanation:

You might want to have a separator, so you know what page your new year textbook starts. I hope this is a food tip to save money!

1. 3х – 4 y = 24 : (0, ) ( ,0)​

Answers

the points are (0,-6) (8,0)

Pls help extra points and mark brainlist easy reading

Answers

Answer: the second one

Step-by-step explanation:

I really need help I posted this question 3 times and no answers, can someone help I even put extra points and ill give brainliest <333

Answers

Answer:

In a quadrilateral ABCD, ∠A = 100°, ∠B = 105° and ∠C = 70°, find ∠D.

Solution:

Here the sum of the four angles

or, ∠A + ∠B + ∠C + ∠D = 360°

We know, ∠A = 100°, ∠B = 105° and ∠C = 70°

or, 100° + 105° + 70° + ∠D = 360°

or, 275° + ∠D = 360°

∠D = 360° - 275°

Therefore,  = 85°

i hope this was helpful. <3

crown?


How do I solve this

Answers

Answer:

Step-by-step explanation:

I'm sorry forgot how to exactly solve it

Kayla went shopping for a new pair of sneakers. The listed price of the pair of sneakers was $20, but the price with tax came to $21.80. Find the percent sales tax.

Answers

Hello!

[tex]\large\boxed{9 \%}[/tex]

To find the percent tax, use the equation:

[tex]\text{ \% tax} = \frac{\text{ price after - initial price}}{\text{initial price}}[/tex]

Substitute in the given values:

[tex]\text{ \% tax} = \frac{\text{ 21.80 - 20}}{\text{20}} \\\\\text{ \% tax} = \frac{1.80}{20} = 0.09[/tex]

Multiply by 100 to find the percent tax:

[tex]0.09 * 100 = 9\%[/tex]

Answer: Its 9%

Step-by-step explanation:

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